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Finding the Fourth Proportional to 11,833.70, 17,747.51 and 3,511.74

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Solution

The fourth proportional to 11,833.70, 17,747.51 and 3,511.74 is: 5,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.70 : 17,747.51 = 3,511.74 : x
  2. Step 2: Convert to fraction form
    11,833.70/17,747.51 = 3,511.74/x
  3. Step 3: Cross multiply
    11,833.70x = 17,747.51 × 3,511.74
  4. Step 4: Simplify right side
    11,833.70x = 62,324,623.21
  5. Step 5: Solve for x
    x = 62,324,623.21/11,833.70
  6. Step 6: Final answer
    x = 5,266.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.